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Finding the Fourth Proportional to 490.40, 735.71 and 230.34

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Solution

The fourth proportional to 490.40, 735.71 and 230.34 is: 345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.40 : 735.71 = 230.34 : x
  2. Step 2: Convert to fraction form
    490.40/735.71 = 230.34/x
  3. Step 3: Cross multiply
    490.40x = 735.71 × 230.34
  4. Step 4: Simplify right side
    490.40x = 169,464.02
  5. Step 5: Solve for x
    x = 169,464.02/490.40
  6. Step 6: Final answer
    x = 345.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.